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Finding the Fourth Proportional to 1,351.46, 2,027.20 and 427.02

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Solution

The fourth proportional to 1,351.46, 2,027.20 and 427.02 is: 640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.46 : 2,027.20 = 427.02 : x
  2. Step 2: Convert to fraction form
    1,351.46/2,027.20 = 427.02/x
  3. Step 3: Cross multiply
    1,351.46x = 2,027.20 × 427.02
  4. Step 4: Simplify right side
    1,351.46x = 865,659.68
  5. Step 5: Solve for x
    x = 865,659.68/1,351.46
  6. Step 6: Final answer
    x = 640.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.